Question
Given that: $\lambda  = a\,\cos \,\left( {\frac{t}{p} - qx} \right)$ , where $t$ represents time in second and $x$ represents distance in metre. Which of the following statements is true?

Answer

In $\cos \left(\frac{t}{p}-q x\right),$ the expression $\left(\frac{t}{p}-q x\right)$ is dimensionless. Hence, $t / p$ is also dimensionless. This is possible when units of $t$ are same as that of $p$.

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